Due to the everāgrowing applications and services of the Internet of Things (IoT), designing energyāefficient and spectralāefficient transmission schemes to support IoT devices for the 6G spaceāairāground integrated networks becomes much more challenging. Fortunately, energy harvesting (EH) and cognitive radio (CR) technologies have been proposed to alleviate these challenges. Inspired by this fact, this paper studies the issue of spectrum reuse in terms of spectrum utilization efficiency (SUE) in the energy harvesting cognitive radio network (EHāCRN), where multiple primary transceiver pairs, one multiāantenna secondary transmitter (ST), and one secondary base station (SBS) coexist. To characterize the impact of smallāscale fading and improve the SUE of the EHāCRN with perfect spectrum sensing (SS), an adaptive scheme concerning SS, channel selection, EH, and data transmission (SCED) scheme are proposed, where the ST selects the channels for SS based on the residual energy, and adjusts the duration of EH and data transmission with respect to the sensing results. Then the Markov decision process problem of SUE is formulated, which is challenging due to the infinite system space and action space. To tackle the Markov decision process problem, the system space and action space are discreted, and divide the ST into the energyālimited case and energyāsufficient case according to specific energy condition. Moreover, theoretical results are extended to the EHāCRN with imperfect SS. Numerical results show that the SUE under the SCED scheme in perfect SS and imperfect SS scenarios is better than that under otherĀ schemes.